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Math · Calculus
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a https//www.maynoothuniversity ie/system/fles/2015.MT2015-lanuary.pdt distance of P from the plane r +2y +2z 5 marks) 3 is 2 units. 2. Let f(r, y) 12 marks] (b) Given c ER\ (0 find (r, y) E R2 such that f(z,y) - c. Finally determine 8 marks) 8 marks] (d) l Verify that the second-order partial derivatives fry and fur are equal.,(6 marks) (e) Investigate the behaviour of f(a, y) as (r, y) approaches the origin along the [10 marks (a) Determine the domain of f the range of f. I (c) Draw the level curves of f for c -1, c 0 and c 1. line y -r. In particular answer whether or not lim f(r, y) exists. (r u)-(0,0) Type here to search

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